Find the LCM of 295, 708, 974, 821 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 295, 708, 974, 821. So, keep reading to learn more.
Given numbers are 295,708,974,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,708,974,821 is 1415387580.
Find LCM of 295,708,974,821 with Prime Factorization
2 | 295, 708, 974, 821 |
59 | 295, 354, 487, 821 |
5, 6, 487, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 5 x 6 x 487 x 821 = 1415387580
Therefore, the lowest common multiple of 295,708,974,821 is 1415387580.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
295 x 708 x 974 x 821 = 167015734440
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
295 : 1, 5, 59, 295
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
974 : 1, 2, 487, 974
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,708,974,821, is 1.
Now, the common factors can be found like this.
295:5x 59
708:2x 2x 3x 59
974:2x 487
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 59 = 118
Therefore, the value for common factors is 118.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 167015734440/(1x118)
LCM = 167015734440/118
LCM = 1415387580
Thus, we can understand that the LCM of 295,708,974,821 is 1415387580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 708, 974, 821?
Answer: LCM of 295, 708, 974, 821 is 1415387580.
2. How to calculate the LCM of 295, 708, 974, 821?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 295, 708, 974, 821.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.